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Lyrx [107]
3 years ago
7

.

Mathematics
1 answer:
strojnjashka [21]3 years ago
6 0

For this case we have the variable x = -3:

A) 6x = 6 (-3) = - 18\\B) 4x = 4 (-3) = - 12\\C) -3x = -3 (-3) = + 9\\D) -7x = -7 (-3) = + 21

Now, matching each expression with its value we have:

A goes with 4

B goes with 3

C goes with 2

D goes with 1

ANswer:

A goes with 4

B goes with 3

C goes with 2

D goes with 1

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52 I think is the answer
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x = 3y - 8
Now just solve for y
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Answer:

P(0.26 \leq p \leq 0.43)=0.7204-0.0032=0.7172

Step-by-step explanation:

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

The population proportion have the following distribution

p \sim N(p=0.4,\sqrt{\frac{p(1-p)}{n}}=\sqrt{\frac{0.4(1-0.4)}{91}}=0.0514)

And we can solve the problem using the z score on this case given by:

z=\frac{p_o -p}{\sqrt{\frac{p(1-p)}{n}}}

We are interested on this probability:

P(0.26 \leq p \leq 0.43)

And we can use the z score formula, and we got this:

P(\frac{0.26 -0.4}{\sqrt{\frac{0.4(1-0.4)}{91}}} \leq Z \leq \frac{0.43 -0.4}{\sqrt{\frac{0.4(1-0.4)}{91}}})

P(-2.726 \leq Z \leq 0.584)

And we can find this probability like this:

P(-2.726 \leq Z \leq 0.584)=P(Z

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3 years ago
The function f(x)=3 (x+6)^2+8 is shifted 4 units up and 3 units right to form another function g(x). What is g(x)?
iVinArrow [24]

Answer:

g(x) = 3\cdot (x+3)^{2}+12

Step-by-step explanation:

There are two operations involved:

Vertical translation:

f'(x) = f(x) \pm c,\,c\in \mathbb{R} (1)

Note: Positive sign represent a translation upwards.

Horizontal translation:

f'(x) = f(x\pm c), x\in \mathbb{R} (2)

Note: Positive sign represent a translation leftwards.

Then, the new function must be:

g(x) = f(x-3)+4

g(x) = 3\cdot (x+3)^{2}+12

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3 years ago
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JulijaS [17]
Polynomial in standard form:

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Leading coefficient:

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How it should be written:

x⁴ + 4x³ + 10x - 7; 1
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